If possible, we actually recommend that our customers get a dedicated URL for their status page (e.g. www.companynamestatus.com). The reason for this is that if your DNS provider is down, your status page will be down too.
Log in to your account and navigate to Customize -> Customize status page, where you'll be able to set your Custom Domain. If you have not yet activated your status page but have setup a custom domain, it will redirect to your unique subdomain until your page launches.
Once the domain is saved, the link to update your DNS will show you what CNAME record needs to be set in your DNS provider to validate the domain.
There's no need to provide your own SSL certificate. We dedicate a slot for you under our shared SAN certificate. To enable SSL, go to the Customize section > Customize Page.
If you need to disable SSL for some reason, reach out to us at email@example.com.